A175743 Numbers with 33 divisors.

9216, 25600, 50176, 123904, 173056, 236196, 295936, 369664, 541696, 861184, 984064, 1401856, 1476225, 1721344, 1893376, 2262016, 2876416, 2893401, 3564544, 3810304, 4596736, 5161984, 5456896, 6390784, 7054336, 7144929, 8111104, 9634816, 9979281, 10445824

Offset: 1

Author

Jaroslav Krizek, Aug 27 2010

Keywords

• nonn

Comments

Numbers of the form p^32 and p^10*q^2, where p and q are distinct primes.

Links

• T. D. Noe, Table of n, a(n) for n = 1..1000
• OEIS Wiki, Index entries for number of divisors

Crossrefs

Cf. A000005.

Programs

Mathematica

Select[Range[2000000],DivisorSigma[0,#]==33&]  (* Harvey P. Dale, Jan 26 2011 *)

PARI

is(n)=numdiv(n)==33 \\ Charles R Greathouse IV, Jun 19 2016

Formula

A000005(a(n)) = 33.

Sum_{n>=1} 1/a(n) = P(2)*P(10) - P(12) + P(32) = 0.000203328..., where P is the prime zeta function. - Amiram Eldar, Jul 03 2022

Extensions

More terms from Harvey P. Dale, Jan 26 2011

Extended by T. D. Noe, May 08 2011